
Kevin S. answered 02/05/13
Let's let t = (x - 3).
Our problem then looks like t2 - 3t - 28, which factors to (t - 7)(t + 4)
Replacing t with (x - 3), we get
[(x-3) - 7][(x-3) + 4] or
(x - 10)(x + 1)
We could also brute force it:
(x2 - 6x + 9) - 3(x - 3) - 28
x2 - 6x + 9 - 3x + 9 - 28.
Now, collecting like terms,
x2 - 9x -10
(x - 10) (x + 1)